Historical buildings often suffer from local seismic damage due to poor connections between structural members, delivering out-of-plane modes. During the rocking motion, debris can accumulate under the wall, at the base hinge, or between the rocking wall and the sidewalls. This phenomenon causes a change of base hinge that must be considered in the non-linear dynamic analysis through a geometric parameter, here introduced. The out-of-plane modes of masonry façades are generally counteracted by common steel ties working as horizontal restraints. Dissipative ties were recently conceived for the seismic structural protection but so far were used in very few buildings. To fill this gap, the paper develops a parametric analysis on a church façade which is considered as unrestrained or restrained by either traditional or dissipative ties. The change of the base hinge, which is assumed inclined to simulate the debris accumulation, is discussed in the three scenarios.